make-n-the-subject-of-the-formular-if-A-p-1-r-100-n-

Question Number 144422 by Engr_Jidda last updated on 25/Jun/21

m a k e n t h e s u b j e c t o f t h e f o r m u l a r

i f A = p {(1 + \frac{r}{100})}^{n}

Answered by MJS_new last updated on 25/Jun/21

A = p (1 + \frac{r}{100})

\frac{A}{p} = {(1 + \frac{r}{100})}^{n}

\ln \frac{A}{p} = \ln {(1 + \frac{r}{100})}^{n}

\ln \frac{A}{p} = n \ln (1 + \frac{r}{100})

n = \frac{\ln \frac{A}{p}}{\ln (1 + \frac{r}{100})}

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